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# if n is an integer, is n even? (1) 2n is an even integer (2)

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Manager
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if n is an integer, is n even? (1) 2n is an even integer (2) [#permalink]

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25 Apr 2007, 15:25
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if n is an integer, is n even?

(1) 2n is an even integer
(2) n-1 is an odd integer

I thought the answer is (E), but PR says it's (B). Who's right?
GMAT Club Legend
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25 Apr 2007, 15:53
I can see how this would be tricky since i have heard differing opinions on zero being even or neither. I would say its even though since I was always taught that an even number is X2 and odd would be X2+1

Statement 2 is sufficient...statement 1 isnt.

Any integer x 2 is even.
Any even integer minus one will equal be odd. Since an odd + 1 would be even.
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25 Apr 2007, 16:22
riverripper wrote:
I can see how this would be tricky since i have heard differing opinions on zero being even or neither. I would say its even though since I was always taught that an even number is X2 and odd would be X2+1

Statement 2 is sufficient...statement 1 isnt.

Any integer x 2 is even.
Any even integer minus one will equal be odd. Since an odd + 1 would be even.

yes, it's exactly about zero being even or neither...
thanks
GMAT Club Legend
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25 Apr 2007, 16:31
The one thing I have figured out during all my preps is I tend to over think the math...thats probably a very common thing for a lot of people who were engineers, math majors, or anyone who took higher math during their UG. This isn't differential equations, calc 3, or applied math. Generally they aren't trick questions either and though try to make you reason the questions test your thinking not a detailed knowledge of math. I would assume that the average person would think 0 is even because it falls between two odd numbers.

Safe bet would be to assume its even instead of reading too much into the question.
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25 Apr 2007, 20:03
St1:
2n is even. n can be even or odd since 2 is even. Insufficient.

St2:
n-1 is odd. n must be even since even-odd = odd. Sufficient.

It's B.
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26 Apr 2007, 00:08
Just for the discussion sake,

OG clearly states that '0' is neither even nor odd.

Now, since this is GMAT, it's a safe bet to go by OG
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26 Apr 2007, 00:58
guys, I am mistaken,

'0' is stated as EVEN in OG
26 Apr 2007, 00:58
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